Twice Told

Do those, said he, who learn, learn what they know, or what they do not know?

Cleinias had answered Euthydemus that those who learned learn what they do not know; and he put him through a series of questions the same as before.

Do you not know letters?

He assented.

All letters?

Yes.

But when the teacher dictates to you, does he not dictate letters?

To this also he assented.

Then if you know all letters, he dictates that which you know?

This again was admitted by him.

Then, said the other, you do not learn that which he dictates; but he only who does not know letters learns?

Nay, said Cleinias; but I do learn.

Then, said he, you learn what you know, if you know all the letters?

He admitted that.

Then, he said, you were wrong in your answer.

— Plato, Euthydemus

The Two Cultures

Paul Dirac, the British theoretical physicist, has a reputation for being reserved and speaking little. He read E.M. Forster’s A Passage to India, and commented favorably on it. Someone in Cambridge thought the two great men ought to meet. J.G. Crowther recalls that this was arranged. The two men observed each other in long, silent respect. Presently Dirac asked, ‘What happened in the cave?’ ‘I don’t know,’ said Forster, which concluded their conversation.

Bulletin of the Atomic Scientists, March 1971

The Dr. Psycho Paradox

You’re eating apples with your friend Dr. Psychic Psycho, a talented biochemist who fancies himself a clairvoyant and has made many accurate oddball predictions.

“I have interesting news for you,” he says. “You must seriously consider taking this pill. As you know (since we have recently determined it together), it contains substance X, which (as you also know — but consult this pharmacopeia if in doubt) is fatally poisonous by itself, while nevertheless furnishing unfailing antidote to poison Z — though it does have some minorly unpleasant side effects. Now the apple I gave to you, which you have just finished eating, was poisoned by me with Z — or not — in line with my prediction as to your taking or not taking the antidote pill. Benign old me, of course, only poisoned the apple if I foresaw that you were indeed going to take the antidote. And not to worry — I’m a very good predictor.”

He rushes off. What should you do?

(By University of Pittsburgh philosopher Nicholas Rescher.)

Stare Conditioning

In 1958, B.F. Skinner and Erich Fromm attended the same California symposium. Skinner found that Fromm “proved to have something to say about almost everything, but with little enlightenment,” and “when he began to argue that people were not pigeons, I decided that something had to be done”:

On a scrap of paper I wrote ‘Watch Fromm’s left hand. I am going to shape a chopping motion’ and passed it down the table to [Halleck Hoffman]. Fromm was sitting directly across from the table and speaking mainly to me. I turned my chair slightly so that I could see him out of the corner of my eye. He gesticulated a great deal as he talked, and whenever his left hand came up, I looked straight at him. If he brought the hand down, I nodded and smiled. Within five minutes he was chopping the air so vigorously that his wristwatch kept slipping out over his hand.

“William Lederer had seen my note, and he whispered to Halleck. The note came back with an addendum: ‘Let’s see you extinguish it.’ I stopped looking directly across the table, but the chopping went on for a long time. It was an unfair trick, but Fromm had angered me — first with his unsupported generalizations about human behavior and then with the implication that nothing better could be done if ‘people were regarded as pigeons.'”

(From Skinner’s 1983 memoir A Matter of Consequences.)

Street Marketing

Physicists Chen Ning Yang and Tsung-Dao Lee used to discuss their work over lunch at a Chinese restaurant on 125th Street in Manhattan. One day they made an important insight into parity violation, and the two received the 1957 Nobel Prize in physics.

After the award was announced, one of them noticed a sign in the restaurant window: “Eat here, get Nobel Prize.”

Misc

  • As Britain prepared for World War I, officers were required to have their swords sharpened.
  • Wordsworth’s “The Rainbow” has an average word length of 3.08 letters.
  • sin 10° × sin 50° × sin 70° = 1/8
  • WILLIAM SHAKESPEARE = I SWEAR HE’S LIKE A LAMP
  • “I have always thought that every woman should marry, and no man.” — Benjamin Disraeli

Dark Doings

There is a legend that after Buddha died, his shadow lingered in a cave. It actually is possible for a shadow to persist without any sustaining object. Light travels at 299,792,458 meters per second in a vacuum. The moon is about 384,400,000 meters away from Earth. Hence, if the moon were instantly obliterated during a solar eclipse, its shadow would linger for more than a second on the surface of Earth. If the moon were farther away, its shadow could last several minutes. We can extrapolate to posthumous shadows that postdate their objects by millions of years. We can also speculate about an infinite past in which a shadow is sustained by a beginningless sequence of objects. As one object is destroyed, an object of the same shape and size seamlessly replaces it. This shadow antedates any object in the sequence and so refutes the principle that every shadow is caused by an object. Shadows are not dedicated dependents. Although slaves to some object or other, they can switch masters.

— Roy Sorensen, Seeing Dark Things, 2008